Find the equation of a line parallel to the y – axis at a distance of (i) 6 units to its right
(ii) 3 units to its left

Answer : (i) Equation of line parallel to y – axis is given by x = constant, as the x – coordinate of every point on the line parallel to y – axis is 6 i.e. constant. Now the point lies to the right of y – axis means in the positive direction of x – axis,

So, required equation of line is x = 6.

(ii) Equation of line parallel to y – axis is given by x = constant, as the x – coordinate of every point on the line parallel to y – axis is – 3. Now point lies to the left of y – axis means in the negative direction of x – axis,

So, required equation of line is given as x = – 3.